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In an isothermal irreversible expansion ...

In an isothermal irreversible expansion of an ideal gas as per IUPAC sign convention :

A

`/_\U=0`

B

`/_\H=0`

C

`q=RT(1-(P_(2))/(P_(1)))`

D

`w=RTln ((P_(2))/(P_(1)))`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`/_\U=nC_(v)/_\T( :'T=0, /_\U=0)`
`/_\H=nC_(P) /_\T ( :'T=0,/_\H=0)`
`1^(st)` law `/_\U=q+w=0`
`:.q=-w`
`w=-int_(v_(1))^(v_(2)) P_("ext")dv`
`P_("ext")=P_(2)'w=-P_(2)(V_(2)-V_(1))`
`w=-P_(2)[(RT)/(P_(2))-(RT)/(P_(1))]`
`=-RT[1/(P_(2))/(P_(1))]`
`:.q=RT[1-(P_(2))/(P_(1))]`
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